# Yukawa Unification with light supersymmetric particles consistent with LHC constraints

## TL;DR

This paper explores supersymmetric models with left-right symmetry that achieve Yukawa unification, remain consistent with recent LHC data, and provide viable dark matter candidates, highlighting their experimental viability.

## Contribution

It demonstrates that Yukawa unification in $4$-$2$-$2$ models with negative $$ is still compatible with current experimental constraints, including LHC results.

## Key findings

- Yukawa unification is not ruled out by current LHC constraints.
- The models provide satisfactory dark matter candidates.
- Parameter space is constrained by recent experimental bounds.

## Abstract

We investigate supersymmetric models with left-right symmetry based on the group $SU(4)_{c} \times SU(2)_{L} \times SU(2)_{R}$ ($4$-$2$-$2$) with negative sign of bilinear Higgs potential parameter $\mu$ in the context of the latest experimental results. In the backdrop of experimental results from the Large Hadron Collider, we investigate the possibility of Yukawa unification in $4$-$2$-$2$ and find out the same is still not ruled out. Furthermore, this scenario also provides a satisfactory dark matter candidate. The current experimental bounds on sparticle masses, mass bounds on Higgs particle, updated phenomenological constraints from the rare decays of B meson and the anomalous magnetic moment of muon with the requirement of a Yukawa unified theory having $10 \%$ or better third family Yukawa unification are utilized to bound the parametric space of these models.